Finding the Fourth Proportional to 2,001.98, 3,003.23 and 686.00

Step by Step Solution

1. Step 1: Write the proportion equation
   2,001.98 : 3,003.23 = 686.00 : x
2. Step 2: Convert to fraction form
   2,001.98/3,003.23 = 686.00/x
3. Step 3: Cross multiply
   2,001.98x = 3,003.23 × 686.00
4. Step 4: Simplify right side
   2,001.98x = 2,060,197.33
5. Step 5: Solve for x
   x = 2,060,197.33/2,001.98
6. Step 6: Final answer
   x = 1,029.08